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Finding the Third Proportional to 588,819 and 1,277,214

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Solution

The third proportional to 588,819 and 1,277,214 is: 2,770,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,819 : 1,277,214 = 1,277,214 : x
  2. Step 2: Convert to fraction form
    588,819/1,277,214 = 1,277,214/x
  3. Step 3: Cross multiply
    588,819x = 1,277,214 × 1,277,214
  4. Step 4: Simplify right side
    588,819x = 1,631,275,601,796
  5. Step 5: Solve for x
    x = 1,631,275,601,796/588,819
  6. Step 6: Final answer
    x = 2,770,419.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.